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Barenblatt solution and spherically symmetric solutions of the porous media equation |
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| Authors: | Kazuya Hayasida Kazuya Hayasida |
| Affiliation: | Department of Computational Science Facutly of Science , Kanazawa University , Kanazawa, 920-11, Japan |
| Abstract: | We consider the Cauchy problem of the porous media equation. We show that it is spherically symmetric solution has the same property as Barenblatt solution, with respct to some regularity property. |
| Keywords: | Porous media equation Barenblatt solution nonlinear degenerate parabolic equation |